A Multilinear Singular Value Decomposition 论文

详细信息

发表期刊/会议

SIAM Journal on Matrix Analysis and Applications

发表日期

2000-01-01

发表年份

2000

摘要

Abstract. We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higher-order tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, first-order perturbation effects, etc., are analyzed. We investigate how tensor symmetries affect the decomposition and propose a multilinear generalization of the symmetric eigenvalue decomposition for pair-wise symmetric tensors.